Question

add.
(8 + 2i) + (6 - 5i)
write your answer in the form a + bi, where a and b are real numbers.

Explanation:

Step1: Combine real parts

To add complex numbers, we first combine the real parts. The real parts are 8 and 6. So we calculate \(8 + 6\).
\(8 + 6 = 14\)

Step2: Combine imaginary parts

Next, we combine the imaginary parts. The imaginary parts are \(2i\) and \(-5i\). So we calculate \(2i - 5i\).
\(2i - 5i=(2 - 5)i=-3i\)

Step3: Combine results

Now we combine the results from the real and imaginary parts to get the final complex number in the form \(a + bi\).
Combining \(14\) (from the real part) and \(-3i\) (from the imaginary part), we get \(14-3i\).

Answer:

\(14 - 3i\)